Browsing Bergen Open Research Archive by Author "Nordhaug, Hans Fredrik"
Now showing items 1-7 of 7
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A Local Streamline Eulerian-Lagrangian Method for Two-Phase Flow
Ask, A. K.; Dahle, Henrik K.; Karlsen, Kenneth Hvistendahl; Nordhaug, Hans Fredrik (Chapter, 2000)A method for solving the saturation equation for two-phase now is presented. The method may be viewed as an operator splitting method or as an Eulerian-Lagrangian backtracking procedure or as a modi£ed method of characteristics. ... -
Modeling of Multi Phase Flow in Porous Media: Operator Splitting, Front Tracking, Interfacial Area and Network Models
Nordhaug, Hans Fredrik (Doctoral thesis, 2001-12-20)In this work several new numerical methods and a new mathematical model related to multi phase flow in oil reservoirs have been developed, implemented and tested. The numerical difficulties in multi phase flow stem from ... -
On Solving a Three Phase Flow Model with Capillary Forces
Nordhaug, Hans Fredrik (Master thesis, 1998-07-10) -
Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies
Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald; Nordhaug, Hans Fredrik; Dahle, Helge K. (Peer reviewed; Journal article, 2001)Many numerical methods for systems of convection-diffusion equations are based upon an operator splitting formulation, where convective and diffusive forces are accounted for in separate substeps. We describe the nonlinear ... -
A pore network model for calculation of interfacial velocities
Nordhaug, Hans Fredrik; Celia, Michael A.; Dahle, Helge K. (Peer reviewed; Journal article, 2003)Two-phase flow in porous media is characterized by fluid-fluid interfaces that separate the fluid phases at the pore scale. These interfaces support pressure differences between phases, and their dynamics allow for saturation ... -
A Streamline Front Tracking Method for Two- and Three-Phase Flow Including Capillary Forces
Berre, Inga; Dahle, Helge K.; Karlsen, Kenneth Hvistendahl; Nordhaug, Hans Fredrik (Contemporary Mathematics; 295, Chapter, 2002) -
Two phase flow including interfacial area as a variable
Nordhaug, Hans Fredrik; Dahle, Helge K.; Espedal, Magne S.; Gray, William G.; Celia, Michael A. (Chapter, 2000)Based on the procedure of (Gray & Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a ...